What is the inverse of f(x)=-2(x-3)^2-6 ?

The inverse of f(x)=-2(x-3)^2-6 is sqrt(-(x+6)/2)+3,-sqrt(-(x+6)/2)+3

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inverse of f(x)=-2(x-3)^2-6

inverse

f (x) = - 2 (x - 3)^{2} - 6

- \frac{x + 6}{2} + 3, - - \frac{x + 6}{2} + 3

Solution steps

y = - 2 (x - 3)^{2} - 6

Replace

x

with

y

x = - 2 (y - 3)^{2} - 6

Solve for

y, x = - 2 (y - 3)^{2} - 6

- \frac{x + 6}{2} + 3, - - \frac{x + 6}{2} + 3

\frac{3 - 2 x}{2 x - 5}

f (x) = 2 - 3 x^{3}

f (x) = - 2 x^{2} + 8 x - 11

f (x) = \frac{7}{x} + 1

What is the inverse of f(x)=-2(x-3)^2-6 ?
The inverse of f(x)=-2(x-3)^2-6 is sqrt(-(x+6)/2)+3,-sqrt(-(x+6)/2)+3